13432154330240 has 128 divisors (see below), whose sum is σ = 32159685035520. Its totient is φ = 5364763176960.

The previous prime is 13432154330201. The next prime is 13432154330267. The reversal of 13432154330240 is 4203345123431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13432154330240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347657737 + ... + 1347667703.

It is an arithmetic number, because the mean of its divisors is an integer number (251247539340).

Almost surely, 2^{13432154330240} is an apocalyptic number.

13432154330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13432154330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079842517760).

13432154330240 is an abundant number, since it is smaller than the sum of its proper divisors (18727530705280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13432154330240 is a wasteful number, since it uses less digits than its factorization.

13432154330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 13432154330240 its reverse (4203345123431), we get a palindrome (17635499453671).

The spelling of 13432154330240 in words is "thirteen trillion, four hundred thirty-two billion, one hundred fifty-four million, three hundred thirty thousand, two hundred forty".